While this area is often thought of as the homeland of Turks (especially by the Tien Shien mountains), that wasn’t who was living there 3,500 years ago. Do we know of a people living in that region preceding the Indo-European Yuezhi?
https://en.wikipedia.org/wiki/Yuezhi
I doubt it. One of the things about ancestry in general is, 100 years is a long time. A little time spent doing genealogy shows just how much gets lost in that interval, even in a family that is heavy on oral tradition (like both of mine are). The waves of invasion that entered Europe and the Near East from the steppe were very different from previous ones, for the most part (most were Indo-European, so the languages were more or less related; and the Scythians and Sarmatians were ‘cousins’) and rolled in as a consequence of the natural heartbeat of natural climate change.